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A casting director wishes to find one male and one female to cast in his play if he plans to audition seven males and eight females in how many different ways can this be done

Respuesta :

There are 7 males and 8 females out of which we 1 male and 1 female is to be selected.

Number of ways to select 1 male from 7 are [tex]^7C_1[/tex].

Number of ways to select 1 female from 8 are [tex]^8C_1[/tex].

So, number of ways to select 1 male and 2 female is :

[tex]n = ^7C_1 \times ^8C_1\\\\n = 56[/tex]

Therefore, total number of ways are 56.

Hence, this is the required solution.

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